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Finding the Fourth Proportional to 29,126.50, 43,689.78 and 7,238.50

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Solution

The fourth proportional to 29,126.50, 43,689.78 and 7,238.50 is: 10,857.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,126.50 : 43,689.78 = 7,238.50 : x
  2. Step 2: Convert to fraction form
    29,126.50/43,689.78 = 7,238.50/x
  3. Step 3: Cross multiply
    29,126.50x = 43,689.78 × 7,238.50
  4. Step 4: Simplify right side
    29,126.50x = 316,248,472.53
  5. Step 5: Solve for x
    x = 316,248,472.53/29,126.50
  6. Step 6: Final answer
    x = 10,857.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.